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Finding the Third Proportional to 327,620 and 700,783

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Solution

The third proportional to 327,620 and 700,783 is: 1,498,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,620 : 700,783 = 700,783 : x
  2. Step 2: Convert to fraction form
    327,620/700,783 = 700,783/x
  3. Step 3: Cross multiply
    327,620x = 700,783 × 700,783
  4. Step 4: Simplify right side
    327,620x = 491,096,813,089
  5. Step 5: Solve for x
    x = 491,096,813,089/327,620
  6. Step 6: Final answer
    x = 1,498,983.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.